6881458320 has 480 divisors, whose sum is σ = 27044769024. Its totient is φ = 1551052800.

The previous prime is 6881458319. The next prime is 6881458349. The reversal of 6881458320 is 238541886.

6881458320 is a `hidden beast` number, since 68 + 8 + 1 + 4 + 583 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6739410 + ... + 6740430.

Almost surely, 2^6881458320 is an apocalyptic number.

6881458320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6881458320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522384512).

6881458320 is an abundant number, since it is smaller than the sum of its proper divisors (20163310704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6881458320 is a wasteful number, since it uses less digits than its factorization.

6881458320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6881458320 is about 82954.5557519296. Note that the first 3 decimals coincide. The cubic root of 6881458320 is about 1902.0714545563.

The spelling of 6881458320 in words is "six billion, eight hundred eighty-one million, four hundred fifty-eight thousand, three hundred twenty".